Least Common Multiple (LCM) of 149 and 36
The least common multiple (LCM) of 149 and 36 is 5364.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 149 and 36?
First, calculate the GCD of 149 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 36 = 4 remainder 5 |
| 2 | 36 ÷ 5 = 7 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 16 | 80 |
| 54 and 138 | 1242 |
| 102 and 74 | 3774 |
| 87 and 153 | 4437 |
| 13 and 74 | 962 |